Solve this Algebra 2 question

Question

Let g be a horizontal shrink by a factor of 1/3, followed by a translation of 2 units up and 4 units left of the graph of:

f(x)=(3x-2)² + 5

is the answer 3x² - 4x + 9 ???

Answer 1

f(x) = a(x-h)² + k      Horizontal movement is signified by h; while vertical movement is signified by k. Shrinkage is represented by a.

f(x) = (3x-2)² + 5

Translation: f(x) = (1/3)(3x-2-4)² +5 +2

f'(x) = (1/3)(3x-6)² + 7